Finding the Fourth Proportional to 13,305,386,498,638, 19,923,707,375,049 and 9,182,919,168,300
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Solution
The fourth proportional to 13,305,386,498,638, 19,923,707,375,049 and 9,182,919,168,300 is: 13,750,656,125,371.93
Step by Step Solution
- Step 1: Write the proportion equation
13,305,386,498,638 : 19,923,707,375,049 = 9,182,919,168,300 : x - Step 2: Convert to fraction form
13,305,386,498,638/19,923,707,375,049 = 9,182,919,168,300/x - Step 3: Cross multiply
13,305,386,498,638x = 19,923,707,375,049 × 9,182,919,168,300 - Step 4: Simplify right side
13,305,386,498,638x = 182,957,794,357,937,528,427,773,952 - Step 5: Solve for x
x = 182,957,794,357,937,528,427,773,952/13,305,386,498,638 - Step 6: Final answer
x = 13,750,656,125,371.93
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.